Oil tins of cuboidal shape are made from a metallic sheet with length 8 m and breadth 4 m. Each tin has dimensions `60 times 40 times 20` in cm and is open from the top. Find the number of such tins that can be made?

₹ 5 coins were made by melting a soild cuboidal block of metal with dimensions 16 times 11 times 10 in cm. How many coins of thickness 2 mm and diameter 2 cm can be made. (pi=22/7)

A cuboidal box open at the top has length, breadth and height 20 cm, 16cm and 10 cm respectively . Find its volume.

A tin maker converts a cubical metallic box into 10 cylindrical tins. Side of the cube is 50 cm and radius of the cylinder is 7 cm. Find the height of each cylinder so made if the wastage incurred was 12%. (pi = 22/7)

An aluminium wire and a steel wire are of the same length and crosssection and are joined end to end. The composite wire is hung from a rigid support, a load is suspended from the free end. If the increase in the length of composite wire is 2.77 mm, find the increase in length of each wire. ( Y_A = 7 xx 10^10 N/m^2) (Y steel= 2 xx 10^11 N//m^2)

An open box of length 1.5m, breadth 1m, and height 1m is to be made for use on a trolly for carrying garden waste. How much metal sheet will be required to make this box? The inside and outside surfaces of the box are to be painted with rust proof paint. What will be the cost to paint the box at the rate of $ 150 per square metre?

A magnetic pole of bar magnet with pole strength of 100 A-m is 20 cm away from the centre of a bar magnet. Bar magnet has pole strength of 200 A-m and has a length 5 cm. If the magnetic pole is on the axis of the bar magnet, find the force on the magnetic pole.

A spring has a natural length of 50 cm and a force constant 2 xx 10^3N/m . A body of mass 10 kg is suspended from it and the spring is stretched . If the body is pulled down further stretching the string to a length of 58 cm and released, it executes simple harmonic motion. The force on the body when it is at its lowermost position of oscillation will be

A box is to be made from a sheet 12times12 sq.cm, by cutting equal squares from the four corners and turning up its sides. Find the length of the side of the square to be cut out, in order to obtain a box of the largest possible volume? a)6 b)4 c)3 d)2